We present exact solutions for the Klein Gordon equation with a ring-shaped oscillator potential. The energy eigenvalues and the normalized wave functions are obtained for a particle in the presence of non-central osc...We present exact solutions for the Klein Gordon equation with a ring-shaped oscillator potential. The energy eigenvalues and the normalized wave functions are obtained for a particle in the presence of non-central oscillator potential. The angulm＂ functions are expressed in terms of the hypergeometric functions. The radial eigenfunetions have been obtained by using the Laplace integral transform. By means of the Laplace transform method, which is efficient and simple, the radial Klein-Gordon equation is reduced to a first-order differential equation.展开更多
The method of moments is used to analyze the effect of a superstrate on the input impedance of an annular ring microstrip antenna. Surface current and vertical unit current ae used to model the microstrip patch and t...The method of moments is used to analyze the effect of a superstrate on the input impedance of an annular ring microstrip antenna. Surface current and vertical unit current ae used to model the microstrip patch and the coaxical probe, respectively. The integral equations for the unknown current on the patch are solved by using Galerkins method applied in the Hankel transform domain. The expression for the input impedance is derived according to the patch current. The numerical results for the input impedance are presented for different values of the thickness and relative permittivity of a superstrate layer. It is shown from the numerical results that the superstrate has an effect of decreasing the resonant frequency and changing the input impedance level.展开更多
Ringing artifact degradations always appear in the deconvolution of geophysical data. To address this problem, we propose a postprocessing approach to suppress ringing artifacts that uses a novel anisotropic diffusion...Ringing artifact degradations always appear in the deconvolution of geophysical data. To address this problem, we propose a postprocessing approach to suppress ringing artifacts that uses a novel anisotropic diffusion based on a stationary wavelet transform （SWT） algorithm. In this paper, we discuss the ringing artifact suppression problem and analyze the characteristics of the deconvolu- tion ringing artifact. The deconvolution data containing ringing artifacts are decomposed into different SWT sub- bands for analysis, and a new multiscale adaptive aniso- tropic filter is developed to suppress these degradations. Finally, we demonstrate the performance of the proposed method and describe the experiments in detail.展开更多
A C-band accelerator structure was used to accelerate electrons at the Shanghai soft X-ray free-electron laser test facility (SXFEL-TF) in Shanghai Institute of Applied Physics (SINAP). The microwave system of this ac...A C-band accelerator structure was used to accelerate electrons at the Shanghai soft X-ray free-electron laser test facility (SXFEL-TF) in Shanghai Institute of Applied Physics (SINAP). The microwave system of this accelerator structure used a 110 MW pulse modulator and a klystron (PV-5050) to provide the power supply. A pulse transformer is a crucial device in a modulator klystron system and plays significant roles in voltage level transformation, matching impedances, and polarity inversion. This study presents the optimization of a high-voltage pulse transformer. The design considerations of reducing flattop ringing and flattop droop, and shortening leading edge are provided. The model simulation, mechanical design, and the relevant experimental results are also presented.展开更多
In this study,we successfully developed an unprecedented superoxide radical anion(O_(2)•^(−))triggered degenerate ring transformation(DRT)of N-benzylpyridinium salts.This method utilizes the electrophilicity enhanceme...In this study,we successfully developed an unprecedented superoxide radical anion(O_(2)•^(−))triggered degenerate ring transformation(DRT)of N-benzylpyridinium salts.This method utilizes the electrophilicity enhancement of pyridine over N-benzylation to facilitate the ring opening and subsequent 6π-electrocyclization and aromatization event,resulting in the reconstruction of a pyridine core.This process allows for selective installation of an aryl and formyl group to the C2 and C3 position of pyridine,respectively,leading to the formation of C2-arylated nicotinaldehydes.The generation of superoxide radical anions under Cu(I)/4-dimethylaminopyridine(DMAP)conditions,in combination with PhBpin as the oxygen atom abstraction reagent,is crucial for the high efficiency of this transformation.Density functional theory calculations further elucidate the important role of the Cu(I)/DMAP/PhBpin system in accelerating this DRT process.展开更多
文摘We present exact solutions for the Klein Gordon equation with a ring-shaped oscillator potential. The energy eigenvalues and the normalized wave functions are obtained for a particle in the presence of non-central oscillator potential. The angulm＂ functions are expressed in terms of the hypergeometric functions. The radial eigenfunetions have been obtained by using the Laplace integral transform. By means of the Laplace transform method, which is efficient and simple, the radial Klein-Gordon equation is reduced to a first-order differential equation.
文摘The method of moments is used to analyze the effect of a superstrate on the input impedance of an annular ring microstrip antenna. Surface current and vertical unit current ae used to model the microstrip patch and the coaxical probe, respectively. The integral equations for the unknown current on the patch are solved by using Galerkins method applied in the Hankel transform domain. The expression for the input impedance is derived according to the patch current. The numerical results for the input impedance are presented for different values of the thickness and relative permittivity of a superstrate layer. It is shown from the numerical results that the superstrate has an effect of decreasing the resonant frequency and changing the input impedance level.
文摘Ringing artifact degradations always appear in the deconvolution of geophysical data. To address this problem, we propose a postprocessing approach to suppress ringing artifacts that uses a novel anisotropic diffusion based on a stationary wavelet transform （SWT） algorithm. In this paper, we discuss the ringing artifact suppression problem and analyze the characteristics of the deconvolu- tion ringing artifact. The deconvolution data containing ringing artifacts are decomposed into different SWT sub- bands for analysis, and a new multiscale adaptive aniso- tropic filter is developed to suppress these degradations. Finally, we demonstrate the performance of the proposed method and describe the experiments in detail.
基金supported by the National Natural Science Foundation of China(No.11675250)
文摘A C-band accelerator structure was used to accelerate electrons at the Shanghai soft X-ray free-electron laser test facility (SXFEL-TF) in Shanghai Institute of Applied Physics (SINAP). The microwave system of this accelerator structure used a 110 MW pulse modulator and a klystron (PV-5050) to provide the power supply. A pulse transformer is a crucial device in a modulator klystron system and plays significant roles in voltage level transformation, matching impedances, and polarity inversion. This study presents the optimization of a high-voltage pulse transformer. The design considerations of reducing flattop ringing and flattop droop, and shortening leading edge are provided. The model simulation, mechanical design, and the relevant experimental results are also presented.
基金the National Natural Science Foundation of China(grant nos.22072099 and 21871187)Sichuan Provincial Natural Science Foundation Project(grant no.2024YFFK0016)+2 种基金the Fundamental Research Funds for the Central Universities(grant no.1082204112I96)Central Guidance for Local Science and Technology Development Fund Project(grant no.2024ZYD0099)Postgraduate Education and Teaching Reform Programme of Sichuan University(grant no.GSSCU2024058).
文摘In this study,we successfully developed an unprecedented superoxide radical anion(O_(2)•^(−))triggered degenerate ring transformation(DRT)of N-benzylpyridinium salts.This method utilizes the electrophilicity enhancement of pyridine over N-benzylation to facilitate the ring opening and subsequent 6π-electrocyclization and aromatization event,resulting in the reconstruction of a pyridine core.This process allows for selective installation of an aryl and formyl group to the C2 and C3 position of pyridine,respectively,leading to the formation of C2-arylated nicotinaldehydes.The generation of superoxide radical anions under Cu(I)/4-dimethylaminopyridine(DMAP)conditions,in combination with PhBpin as the oxygen atom abstraction reagent,is crucial for the high efficiency of this transformation.Density functional theory calculations further elucidate the important role of the Cu(I)/DMAP/PhBpin system in accelerating this DRT process.
